Finding the Fourth Proportional to 2,465.10, 3,698.34 and 822.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.10 : 3,698.34 = 822.72 : x
2. Step 2: Convert to fraction form
   2,465.10/3,698.34 = 822.72/x
3. Step 3: Cross multiply
   2,465.10x = 3,698.34 × 822.72
4. Step 4: Simplify right side
   2,465.10x = 3,042,698.28
5. Step 5: Solve for x
   x = 3,042,698.28/2,465.10
6. Step 6: Final answer
   x = 1,234.31